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Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type | Fixed Point Theory and Applications SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type Fixed Point Theory and Applications 2011 2011 102 doi 10.1186 1687-1812-2011-102 Manuel De la Sen wepdepam@lg.ehu.es Ravi P Agarwal Agarwal@tamuk.edu ISSN 1687-1812 Article type Research Submission date 12 September 2011 Acceptance date 21 December 2011 Publication date 21 December 2011 Article URL http www.fixedpointtheoryandapplications.com content 2011 1 102 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Fixed Point Theory and Applications go to http www.fixedpointtheoryandapplications.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2011 De la Sen and Agarwal licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type Manuel De la Sen 1 and Ravi P Agarwal2 1Instituto de Investigacion y Desarrollo de Procesos Universidad del Pais Vasco Campus of Leioa Bizkaia - Aptdo. 644-Bilbao 48080-Bilbao Spain 2Department of Mathematics Texas A M University - Kingsville 700 University Blvd. Kingsville TX 78363-8202 USA Corresponding author manuel.delasen@ehu.es Email address RPA Agarwal@tamuk.edu Abstract This article discusses three weak -contractive .